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We introduce a covariant Multipole Expansion for the scattering of a massive particle emitting photons or gravitons in $D$ dimensions. We find that these amplitudes exhibit very powerful features such as universality, soft exponentiation,…

High Energy Physics - Theory · Physics 2019-06-17 Yilber Fabian Bautista , Alfredo Guevara

We clarify the relation between the classical double copy and the double copy for amplitudes in the setting of selfdual gauge and gravity theories. To this end we construct explicit all-order perturbative solutions in these theories and…

High Energy Physics - Theory · Physics 2025-03-21 Joris Raeymaekers

The double copy is a much-studied relationship between scattering amplitudes in gauge and gravity theories, that has subsequently been extended to classical field solutions. In nearly all previous examples, the graviton field is defined…

High Energy Physics - Theory · Physics 2018-01-17 Nadia Bahjat-Abbas , Andrés Luna , Chris D. White

We find that scattering amplitudes in massive scalar QCD can manifest the duality between color and kinematics at loop-level. Specifically we construct the one-loop integrands for four-point scattering between two distinct massive scalars,…

High Energy Physics - Theory · Physics 2021-02-10 John Joseph M. Carrasco , Ingrid A. Vazquez-Holm

We perform a Feynman diagram calculation of the two-loop scattering amplitude for gravitationally interacting massive particles in the classical limit. Conveniently, we are able to sidestep the most taxing diagrams by exploiting the…

High Energy Physics - Theory · Physics 2020-07-15 Clifford Cheung , Mikhail P. Solon

It is analysed the triple-cut of one-loop amplitudes in dimensional regularisation within spinor-helicity representation. The triple-cut is defined as a difference of two double-cuts with the same particle content, and a same propagator…

High Energy Physics - Theory · Physics 2008-11-26 Pierpaolo Mastrolia

The double copy relates gauge and gravitational theories, with widespread application to quantum scattering amplitudes and classical perturbative results. It also connects exact classical solutions of Abelian gauge and gravitational…

High Energy Physics - Theory · Physics 2025-10-02 Brian Kent , Aaron Zimmerman

Conventional Lagrangian formulations of gauge and gravity theories emphasize compactness and off-shell symmetry. This often obscures the structure of on-shell physical observables. In this work, we present a constructive framework that…

High Energy Physics - Phenomenology · Physics 2026-03-20 John Joseph M. Carrasco , Suna Zekioglu

There are a number of classical double copies, each providing a prescription for generating solutions to the Maxwell and scalar wave equations from exact solutions of Einstein's equations. Two such prescriptions are the Kerr-Schild and…

High Energy Physics - Theory · Physics 2026-05-06 Emma Albertini , Michael L. Graesser , Gabriel Herczeg

We show that scattering amplitudes between initial wave packet states and certain coherent final states can be computed in a systematic weak coupling expansion about classical solutions satisfying initial value conditions. The initial value…

High Energy Physics - Phenomenology · Physics 2009-10-28 Thomas M. Gould , Stephen D. H. Hsu , Erich R. Poppitz

Advances in our understanding of perturbation theory suggest the existence of a correspondence between classical general relativity and Yang-Mills theory. A concrete example of this correspondence, which is known as the double copy, was…

High Energy Physics - Theory · Physics 2016-06-29 Andres Luna , Ricardo Monteiro , Isobel Nicholson , Donal O'Connell , Chris D. White

The double copy relates scattering amplitudes in gauge and gravity theories. In this paper, we expand the scope of the double copy to construct spacetime metrics through a systematic perturbative expansion. The perturbative procedure is…

High Energy Physics - Theory · Physics 2017-04-18 A. Luna , R. Monteiro , I. Nicholson , A. Ochirov , D. O'Connell , N. Westerberg , C. D. White

The double copy relates quantities in gauge, gravity and related theories. A well-known procedure for relating exact classical solutions is the Weyl double copy in four spacetime dimensions, and a three-dimensional analogue of this -- the…

High Energy Physics - Theory · Physics 2022-12-12 Mariana Carrillo González , William T. Emond , Nathan Moynihan , Justinas Rumbutis , Chris D. White

It is well-known that General Relativity (GR) in three spacetime dimensions (3D) has no well-defined Newtonian limit. Recently, a static solution mimicking the behaviour of the expected Newtonian potential has been found in arXiv:1904.11001…

High Energy Physics - Theory · Physics 2020-07-29 Mehmet Kemal Gumus , Gokhan Alkac

Perturbatively around flat space, the scattering amplitudes of gravity are related to those of Yang-Mills by colour-kinematic duality, under which gravitational amplitudes are obtained as the 'double copy' of the corresponding gauge theory…

High Energy Physics - Theory · Physics 2017-12-20 Tim Adamo , Eduardo Casali , Lionel Mason , Stefan Nekovar

The double copy is a map from non-abelian gauge theories to gravity, that has been demonstrated both for scattering amplitudes and exact classical solutions. In this study, we reconsider the double copy for exact solutions that are…

High Energy Physics - Theory · Physics 2019-02-20 David S. Berman , Erick Chacón , Andrés Luna , Chris D. White

We propose a method to compute the scattering angle for classical black hole scattering directly from two massive particle irreducible diagrams in a heavy-mass effective field theory approach to general relativity, without the need of…

High Energy Physics - Theory · Physics 2021-11-03 Andreas Brandhuber , Gang Chen , Gabriele Travaglini , Congkao Wen

We study gravitational shock waves using scattering amplitude techniques. After first reviewing the derivation in General Relativity as an ultrarelativistic boost of a Schwarzschild solution, we provide an alternative derivation by…

High Energy Physics - Theory · Physics 2020-12-03 Andrea Cristofoli

The classical double copy procedure relates classical asymptotically-flat gravitational field solutions to Yang-Mills and scalar field solutions living in Minkowski space. In this paper we extend this correspondence to maximally symmetric…

High Energy Physics - Theory · Physics 2018-04-17 Mariana Carrillo-Gonzalez , Riccardo Penco , Mark Trodden

The double copy is by now a well-established relationship between scattering amplitudes and classical solutions in gauge and gravity (field) theories, and is itself inspired by amplitude relations in string theory. In this paper, we…

High Energy Physics - Theory · Physics 2026-02-12 Riccardo Morieri , Igor Pesando , Michael L. Reichenberg Ashby , Chris D. White